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Simplifying 7x + 12 = 2(4x + -5) Reorder the terms: 12 + 7x = 2(4x + -5) Reorder the terms: 12 + 7x = 2(-5 + 4x) 12 + 7x = (-5 * 2 + 4x * 2) 12 + 7x = (-10 + 8x) Solving 12 + 7x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 7x + -8x = -10 + 8x + -8x Combine like terms: 7x + -8x = -1x 12 + -1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -1x = -10 + 0 12 + -1x = -10 Add '-12' to each side of the equation. 12 + -12 + -1x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -10 + -12 -1x = -10 + -12 Combine like terms: -10 + -12 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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